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Finding the Fourth Proportional to 210,097.92, 289,936.98 and 114,605.04

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Solution

The fourth proportional to 210,097.92, 289,936.98 and 114,605.04 is: 158,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.92 : 289,936.98 = 114,605.04 : x
  2. Step 2: Convert to fraction form
    210,097.92/289,936.98 = 114,605.04/x
  3. Step 3: Cross multiply
    210,097.92x = 289,936.98 × 114,605.04
  4. Step 4: Simplify right side
    210,097.92x = 33,228,239,190.38
  5. Step 5: Solve for x
    x = 33,228,239,190.38/210,097.92
  6. Step 6: Final answer
    x = 158,155.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.